557106 has 32 divisors (see below), whose sum is σ = 1271808. Its totient is φ = 161040.

The previous prime is 557093. The next prime is 557153. The reversal of 557106 is 601755.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1335 + ... + 1701.

It is an arithmetic number, because the mean of its divisors is an integer number (39744).

2⁵⁵⁷¹⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635904).

557106 is an abundant number, since it is smaller than the sum of its proper divisors (714702).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

557106 is a wasteful number, since it uses less digits than its factorization.

557106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406.

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 557106 is about 746.3953376060. The cubic root of 557106 is about 82.2834726090.

The spelling of 557106 in words is "five hundred fifty-seven thousand, one hundred six".